Many large scale nonlinear optimization problems are discretizations of
optimization problems in function space and thus, we expect that additional
functional analytic structure should be present. The goal of function space
oriented optimization is to exploit this structure. This may comprise the
efficient computation of steps by iterative solvers, problem suited
globalization strategies, or the use of adaptive mesh refinement inside
an optimization method.
In this talk we will give an overview of a couple of ideas, and explain at
concrete examples how they can be implemented.
Short CV
Anton Shiela is a professor for applied mathematics at the University of Bayreuth.
His fields of research are optimization with PDEs, in particular the
development of algorithms for the solution of optimization problems in
function space.
Before moving to Bayreuth in 2014, he was an associate professor
at Technische Universitaet Hamburg-Harburg (2013-2014) and
Matheon junior reseach group leader at TU Berlin (2012-2013).
He got his PhD in 2007 at Zuse Institute Berlin, where he worked
as a reasearch assistant (2002-2012).